Details

sample25.0ms

Algorithm

intervals

Results

10.0ms

361×

body

valid

simplify28.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	93
5	93
4	80
3	49
2	24
1	14
0	8

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma y (fma y x z) t)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma y (fma y x z) t)

series72.0ms

Counts

1 → 3

Calls

1 calls:

72.0ms

(fma y (fma y x z) t)

simplify2.6s

Counts

13 → 13

Iterations

Iter	Nodes
done	5001
4	2477
3	373
2	100
1	40
0	23

prune113.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma y (fma y x z) t)) (cbrt (fma y (fma y x z) t)))
0.6b	(cbrt (fma y (fma y x z) t))
0.6b	(cbrt (fma y (fma y x z) t))
0.6b	(cbrt (fma y (fma y x z) t))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

18.0ms	(* (cbrt (fma y (fma y x z) t)) (cbrt (fma y (fma y x z) t)))
1.0ms	(cbrt (fma y (fma y x z) t))
1.0ms	(cbrt (fma y (fma y x z) t))
2.0ms	(cbrt (fma y (fma y x z) t))

series760.0ms

Counts

4 → 12

Calls

4 calls:

211.0ms	(* (cbrt (fma y (fma y x z) t)) (cbrt (fma y (fma y x z) t)))
165.0ms	(cbrt (fma y (fma y x z) t))
173.0ms	(cbrt (fma y (fma y x z) t))
211.0ms	(cbrt (fma y (fma y x z) t))

simplify3.7s

Counts

93 → 93

Iterations

Iter	Nodes
done	5002
3	3431
2	624
1	194
0	87

prune665.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize103.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma y (fma y x z) t))
0.6b	(cbrt (fma y (fma y x z) t))
0.6b	(cbrt (cbrt (fma y (fma y x z) t)))
0.6b	(cbrt (cbrt (fma y (fma y x z) t)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `log1p-expm1-u` `add-log-exp`

Counts

4 → 58

Calls

4 calls:

1.0ms	(cbrt (fma y (fma y x z) t))
1.0ms	(cbrt (fma y (fma y x z) t))
3.0ms	(cbrt (cbrt (fma y (fma y x z) t)))
2.0ms	(cbrt (cbrt (fma y (fma y x z) t)))

series813.0ms

Counts

4 → 12

Calls

4 calls:

217.0ms	(cbrt (fma y (fma y x z) t))
171.0ms	(cbrt (fma y (fma y x z) t))
224.0ms	(cbrt (cbrt (fma y (fma y x z) t)))
201.0ms	(cbrt (cbrt (fma y (fma y x z) t)))

simplify1.6s

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
4	3068
3	769
2	257
1	122
0	64

prune576.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize160.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt (fma y (fma y x z) t)))
0.6b	(cbrt (cbrt (fma y (fma y x z) t)))
0.6b	(cbrt (cbrt (fma y (fma y x z) t)))
0.7b	(cbrt (cbrt (cbrt (fma y (fma y x z) t))))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

45×	`cbrt-prod`
13×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `log1p-expm1-u` `add-log-exp`

Counts

4 → 67

Calls

4 calls:

1.0ms	(cbrt (cbrt (fma y (fma y x z) t)))
1.0ms	(cbrt (cbrt (fma y (fma y x z) t)))
1.0ms	(cbrt (cbrt (fma y (fma y x z) t)))
2.0ms	(cbrt (cbrt (cbrt (fma y (fma y x z) t))))

series741.0ms

Counts

4 → 12

Calls

4 calls:

188.0ms	(cbrt (cbrt (fma y (fma y x z) t)))
182.0ms	(cbrt (cbrt (fma y (fma y x z) t)))
168.0ms	(cbrt (cbrt (fma y (fma y x z) t)))
203.0ms	(cbrt (cbrt (cbrt (fma y (fma y x z) t))))

simplify1.8s

Counts

79 → 79

Iterations

Iter	Nodes
done	5000
4	3168
3	779
2	266
1	131
0	74

prune811.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes439.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	6
0	6

end0.0ms

sample1.5s

Algorithm

intervals

Results

561.0ms

11311×

body

valid